Normality criteria of meromorphic functions sharing one value

被引：12
作者：
Meng, Da-Wei [1 ]
Hu, Pei-Chu [1 ]
机构：
[1] Shandong Univ, Dept Math, Jinan 250100, Shandong, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2011年 / 381卷 / 02期
关键词：
Meromorphic functions; Normal family; Sharing values; NORMAL-FAMILIES; PRINCIPLE; HAYMAN;
D O I：
10.1016/j.jmaa.2011.03.040
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let k be a positive integer and. a family of meromorphic functions in a domain D subset of C such that each f is an element of F has only zeros of multiplicity at least k + 1. If for each pair (f, g) in F, f f((k)) and g g((k)) share a non-zero complex number a ignoring multiplicity, then F is normal in D. (C) 2011 Elsevier Inc. All rights reserved.
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页码：724 / 731
页数：8
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